Prosody offers a unified expression domain for affective and linguistic communication. Affective prosody (e.g., anger vocalization) reflects pre-cognitive processes, whereas linguistic prosody (e.g., lexical tone) is an acquired cognitive skill. In the present study, we explored the interplay between subcortical affective prosody and cortical linguistic cues during emotional appraisal of speech using stereotyped electroencephalography (EEG) responses. We hypothesized that concurrent affective and linguistic prosody with the same valence will evoke a late positive frontal response, reflecting emotional appraisal supported by complex cognitive processing in frontal cortical areas. Using an auditory oddball paradigm, neural responses to a spoken pair of Swedish words that differed in emotional content due to linguistic prosody were investigated as pronounced with an angry and a neutral voice. The results indicate that when co-occurring, affective and linguistic prosody with the same valence elicit a unique late positive response in the frontal region that is distinct from the neural responses of affective and linguistic prosody alone. This study provides experimental evidence that both affective and linguistic prosody contribute synergistically to the cognitive emotional appraisal of language, and highlights the significance of pre-cognitive affective prosody in language processing, having important implications for both language learning and learning through language.